Unpredictable pattern | Sequence&Series | JEE Adv

Hi folks, I hope you enjoyed this illustration, I tweaked it a little to make the series unpredictable, additionally, it was a fine blend of sequence and series, expansions.
In case you struggle with such types of unconventional illustrations or even conventional and necessary ones, You should try the course I took literally a year to make jeesimplified.com/set-of-60
Baki, keep rocking guys, enjoy your studies and keep drilling!
Also, send us the hardest question you have ever tried
forms.gle/vedh4VUh6fFn7eUeA
Time Stamps
00:00 Introduction
00:25 Solution phase 1
02:13 Deriving quad exp ( little theory )
04:23 Solution phase 2
08:28 Final Learning

Пікірлер: 58

  • @jeesimplified-subject
    @jeesimplified-subject26 күн бұрын

    heyy, send us the hardest question you have ever tried ☠ forms.gle/vedh4VUh6fFn7eUeA

  • @userialsptnspdntbspxkrnsofpe
    @userialsptnspdntbspxkrnsofpe25 күн бұрын

    6:31 if anyone face problem in doing this basic manipulation and bringing that (r+1) term in numerator, I have a working trick for you, what you can do is equate r+1 to something variable like in this case p, it becomes r+1=p, now express value of r in terms of p, it becomes r=p-1, now you can substitute this value of r in the original quadratic equation in numerator, ofc it is more calculative, but it works always.

  • @narsingsharma1490
    @narsingsharma149025 күн бұрын

    me and my friend study in same class same bench he got 13.5k 🤡 crl and i 5.5k 💀 crl I got roorke civil 🤡HE GOT ROORKE CSE💀 how can i comeback it's take lot of power

  • @focusonmyaim8980

    @focusonmyaim8980

    25 күн бұрын

    Broo whatt! That is crazy 😭 Reservation tha ya counselling...?

  • @kabirgambhir4656

    @kabirgambhir4656

    25 күн бұрын

    even after reservation it dosen't make sense!! how??

  • @narsingsharma1490

    @narsingsharma1490

    25 күн бұрын

    @@focusonmyaim8980 reservation

  • @narsingsharma1490

    @narsingsharma1490

    25 күн бұрын

    @@kabirgambhir4656 he is from sc/st💀💀

  • @shadowyt376

    @shadowyt376

    2 күн бұрын

    Reservation nubs won't be able to handle first year😂

  • @Gjid96dfhy
    @Gjid96dfhy26 күн бұрын

    (r-1) factorial nhi hona chaiye tha 3 ke denominator mein

  • @jeesimplified-subject

    @jeesimplified-subject

    25 күн бұрын

    Correct ✅ Nice obs bhai! That’s a little type I made by answer still remains as its for r tends to infinity.

  • @minalshah3594

    @minalshah3594

    19 күн бұрын

    Mai vahi soch rha tha, abhi 11th mei aaya hun aur just cheeze samajhne ka try kr rha hun.

  • @octascario781
    @octascario78125 күн бұрын

    8:07 wouldnt the first term start from like 2? coz -1! undefined hojayega? edit: kisine already comment kiya hai, ye got it thx

  • @Silence_Krishna
    @Silence_Krishna25 күн бұрын

    At 7:00 3r^2+7r+2 ke factorial to (3r+1)(r+2) check it !

  • @adityasahoo2024

    @adityasahoo2024

    25 күн бұрын

    He has split to cancel no to factorize

  • @MadhukarKumar-ke6gd
    @MadhukarKumar-ke6gd25 күн бұрын

    I am now in class 11 taking biology as main stream. Always curious about mathematics.so taked maths as well but i am at ch 3.so i didn't get s lot of thing.But doon i will.😊 My pov- Thanks for making me do more hardwork. Than you

  • @prathamjitiya9517
    @prathamjitiya951721 күн бұрын

    bro I like your content. Just 1 question. will you cover full syllabus for JEE 2025?

  • @averageanimefan3098
    @averageanimefan309825 күн бұрын

    May be wrong,but shouldnt it be (r-1)! When you cancelled the terms?

  • @aaravgusain1986
    @aaravgusain198616 күн бұрын

    at 4:15 we would have to calculate till (n-1)th term right? i got the right equation this way.

  • @_ehh
    @_ehh10 күн бұрын

    5:45 bhaiya ye sab calculation thodi easy karne ka tarika hai. Agar difference of differences 2 hota hai toh r² ka coefficient 2 hota hai, toh agar difference of differences 2k hai (here k=3) r² ka coefficient k hoga. Hence a=3 mil gaya Also, hum pretend kar sakte hai ki 12 ke pehle sequence mein ek 0th term bhi aata hai. Bas pattern continue karke pata chal jayega ki 0th term 2 hai. Ab T_0=a(0²)+b(0)+c hoga, matlab T_0=c Toh c=2 bhi mil gaya. Ab finally b nikalna bohot aasaan ho gaya, bas a+b+c=12 mein a=3, b=2 input karna hai

  • @minalshah3594
    @minalshah359419 күн бұрын

    Bhaiya, abhi 11th mei aaya hi hun, JEE ke problems abhi solve krna start krdu ya NCERT achhe se krne ke baad karu?

  • @AgrimGupta-lz4jm
    @AgrimGupta-lz4jm7 күн бұрын

    Good question..Did it in 1st try

  • @sushantagarwal720
    @sushantagarwal72025 күн бұрын

    My answer is coming as 5e+5 in the end it will be 3(1+e)+4e-2(e-1) which equals 5e+5

  • @bulbhero9233
    @bulbhero923317 күн бұрын

    7:58 bhiya e^x ka nhi sirf e ka taylor expansion hoga woh

  • @Huzaifa-zd8wi
    @Huzaifa-zd8wi17 күн бұрын

    Bro yaar aapke subscriber km kyo h. Voice is also great.

  • @yashchandra633
    @yashchandra63318 сағат бұрын

    solved with partial fraction method :)

  • @arpitchauhan2147
    @arpitchauhan214725 күн бұрын

    This kind of question is in black book S&S chapter

  • @Kai2.0B
    @Kai2.0B26 күн бұрын

    Nice❤

  • @odio_stationofficial3420
    @odio_stationofficial34207 күн бұрын

    well....the solution is wrong but answer is still luckily correct because... ⅀(1 to ∞)[3/(n-1)! + 4/n! - 2/(n+1)!] *is equal to* (3e) + (4e - 4) - (2e - 4) = 5e *not equal to* (3e) + (4e) - (2e) still luckily = 5e 😅😅

  • @jeesimplified-subject

    @jeesimplified-subject

    6 күн бұрын

    yup, that’s a little error, correct cuz it was same for limits tending to 0

  • @rajeshmehtarinku
    @rajeshmehtarinku25 күн бұрын

    please make jee adv pyqssss✌🏼✌🏼 its better for views also

  • @yashukun_65
    @yashukun_6525 күн бұрын

    Bhaiya, wo 3 ke denominator me to (r-1)! Hona chahiye na?

  • @jeesimplified-subject

    @jeesimplified-subject

    25 күн бұрын

    yes 💯

  • @Dragon-xe2fr
    @Dragon-xe2fr16 күн бұрын

    Bhai tera jee nikla ?

  • @gmine5646
    @gmine564625 күн бұрын

    BHAI KUCH EUCLIDEAN GEOMETRY KE TOUGH SAWAAL LAO NA PLEASE 🥺

  • @Ayush-yj5qv
    @Ayush-yj5qv25 күн бұрын

    This question came in jee mains just written in general format

  • @jeesimplified-subject

    @jeesimplified-subject

    25 күн бұрын

    wow! when?

  • @maniacgamer8945

    @maniacgamer8945

    25 күн бұрын

    @@jeesimplified-subject ig april 4s1 me aisa hi similar saval the +2023 me bhi the 2-3

  • @Ayush-yj5qv

    @Ayush-yj5qv

    25 күн бұрын

    @@jeesimplified-subject 2022 the dangerous year 💀

  • @anandnarayan3970

    @anandnarayan3970

    25 күн бұрын

    Yess a similar question came in mains pj sir also had made a video on this mentioning "prmo level question in jee mains " something like that was the title of video as much is remember.

  • @anandnarayan3970

    @anandnarayan3970

    25 күн бұрын

    kzread.info/dash/bejne/fa6bl81ucqvFZ7Q.htmlfeature=shared

  • @adityaagarwal636
    @adityaagarwal63625 күн бұрын

    1 thing, ki vo dinominator me (r-2)! Hai, jisse 3/(-1)! Aa raha hai. But usse answer galat nahi hoga, kyuki ek genralised factorial function hota hai, gamma function. Usme -1 put karo to infinity ki approach karta hai. To wo term 0 ho jaaega.

  • @jeesimplified-subject

    @jeesimplified-subject

    25 күн бұрын

    Yes, correct obs ✅

  • @Noniitian2207

    @Noniitian2207

    25 күн бұрын

    ​@@jeesimplified-subjectbhaiya r-1 aayega na waise

  • @adityaagarwal636

    @adityaagarwal636

    20 күн бұрын

    Haan vaise r-1 hi aaega​@@Noniitian2207

  • @user-om7vy6du8t
    @user-om7vy6du8t25 күн бұрын

    8:00 Pratham bhaiya Sigma -2/(r+1)! Ki value -2e+2 hogi bcs that series will start from 1/2!

  • @jeesimplified

    @jeesimplified

    25 күн бұрын

    right, other students mentioned the error as well, good observation bro.

  • @Shivam_7727
    @Shivam_772721 күн бұрын

    Is there any way I could talk to you , i have been suffering from a problem Whenever i gave test in my coaching i just able to solve 9-10 que out of 25 but when I came home and try them , they are like piece of cake Basically me ghabra jata hu paper me aur gallat kar aata hu Bhaiya koi soln hai toh madad kardo

  • @adityaagarwal636

    @adityaagarwal636

    20 күн бұрын

    Bhai ek hi solution hai, jitne de sakta hai utne mock test do, aur confidence rakho. Galat hoga to ho jaaega, par confidently karo daro mat.

  • @bestvideos3177
    @bestvideos317726 күн бұрын

    First sir ❤

  • @kaminibehera9448
    @kaminibehera944825 күн бұрын

    e^x= 1/0! +1/1! +1/2!+1/3!+1/4!...

  • @champu823
    @champu82325 күн бұрын

    End mein mistake hai Because r ki value 1 se chalu ho rhi hai toh (r-1)! Ki value 0! Se chalu tohi toh = 3e Secind mein r! Ki value 1! Se chalu hogi toh Second term = 4(e-1) Third mein (r+1)! Ki value 2! Se chalue hogi toh = -2(e-2) All in all 3e +4e -4 -2e +4 = 5e

  • @mauryaanjani

    @mauryaanjani

    13 күн бұрын

    Yes Mera bhi same answer aarhaa

  • @skanda3341
    @skanda334126 күн бұрын

    In first 10 😎

  • @shlokalagiya1290
    @shlokalagiya129026 күн бұрын

    First comment first view